Note that the equation can be rearranged and factored as follows:
tan^2x -tanx -2 = 0
(tanx -2)(tanx +1) = 0
tan x = 2 or -1
There are four angles between 0 and 360 degrees that are solutions. One of them is 135 degrees. Another is 63.435 degrees. See if you can find the others.